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Scalar conservation law with discontinuity arising in pedestrian modeling
2014
ESAIM Proceedings and Surveys
We consider a generalized version of the Hughes' macroscopic model of pedestrian motion. It consists of a conservation law on the pedestrian mass with an eikonal equation giving the direction of the flux depending of the density. The model displays a non-classical dynamics at the splitting point. Known convergence results for finite volume schemes do not apply in this setting. The wavefront tracking provides us with reference solutions to test numerically the convergence of classical finite
doi:10.1051/proc/201445051
fatcat:3zvy3cp5qrdq7migsvwgmybg6a